A190201 a(n) = [n*u+n*v]-[n*u]-[n*v], where u=sqrt(5), v=1/u, and []=floor.

0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0

Offset

1

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Mathematica

u = 5^(1/2); v = 1/u;
f[n_] := Floor[n*u + n*v] - Floor[n*u] - Floor[n*v]
t = Table[f[n], {n, 1, 120}] (*A190201*)
Flatten[Position[t, 0]]      (*A190202*)
Flatten[Position[t, 1]]      (*A190203*)

Prog

(PARI) for(n=1, 30, print1(floor(n*(sqrt(5) + 1/sqrt(5))) - floor(n*sqrt(5)) - floor(n/sqrt(5)), ", ")) \\ G. C. Greubel, Dec 27 2017
(Magma) [Floor(n*(Sqrt(5) + 1/Sqrt(5))) - Floor(n*Sqrt(5)) - Floor(n/Sqrt(5)): n in [1..30]]; // G. C. Greubel, Dec 27 2017

Crossrefs

Cf. A190202, A190203.

Sequence in context: A095076 A285080 A167392 * A189702 A168395 A278718

Adjacent sequences: A190198 A190199 A190200 * A190202 A190203 A190204

Keyword

nonn

Author

Clark Kimberling, May 05 2011

Status

approved